This mathematics problem involves applying core mathematical principles and formulas. Below you will find a complete step-by-step solution with detailed explanations for each step, helping you understand not just the answer but the method behind it.
ScanSolve AI Answer
Shoe sizes: 4, 9, 9, 10, 11 (a) Median shoe size Step 1: Arrange the data in ascending order. Ordered list: 4, 9, 9, 10, 11 Step 2: Identify the median position. Number of values n=5 (odd), so median is the (n+1)/(2)th value: (5+1)/(2) = 3 Step 3: Select the 3rd value. 3rd value =9 Median shoe size: 9 (b) Modal shoe size Step 1: Find the frequency of each shoe size. 4 appears 1 time, 9 appears 2 times, 10 appears 1 time, 11 appears 1 time. Step 2: Select the value with highest frequency. Highest frequency =2 (shoe size 9) Modal shoe size: 9 (c) Mean shoe size Step 1: Mean formula x = (x_1 + x_2 + x_3 + x_4 + x_5)/(5) Step 2: Substitute values. x = (4 + 9 + 9 + 10 + 11)/(5) Step 3: Calculate sum, step-by-step. 4 + 9 = 13 13 + 9 = 22 22 + 10 = 32 32 + 11 = 43 Step 4: Divide by n=5. x = (43)/(5) = 8.6 Mean shoe size: 8.6